Which of the following is correct about the acceleration of a particle describing a uniform circular motion?

  1. The acceleration is constant both in magnitude and direction
  2. The acceleration is constant in direction but not in magnitude.
  3. The acceleration is constant in magnitude but not in direction
  4. The acceleration is neither constant in magnitude nor in direction.

Answers (1)

 

In any type of motion, Force either changes the direction of particle or magnitude or both. In a uniform circular motion, the velocity of the particle is constant and the magnitude is constant as well and it equals to a_{c} = \frac{v^{2}}{r} . So the direction of the particle changes because of the force, if there was no force then the particle might have followed a straight path rather than a circular path.

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